function y = kernel_m_singular_nonmod_1_analytical(zeta, m, CONSTS)

    k0 = CONSTS.k0;
    a = CONSTS.a;
    c = CONSTS.c;
    
    Z0 = 4*pi/c;
    
    y = 1i*Z0*(k0/(2*pi))*(log(abs(zeta)./(2*a)) + 2*((sum(1./(2*(1:(abs(m) + 1))-1))) - log(2)));

end